Math Game Monday: Domino Fraction War

Learn a new math game every week, for free

This game offers upper-elementary and middle school students plenty of practice doing estimation and mental math with fractions.

Many parents remember struggling to learn math. We hope to provide a better experience for our children.

And one of the best ways for children to enjoy learning is through hands-on play.

Domino Fraction War

Math Concepts: proper fractions, comparing fractions.

Players: two or more.

Equipment: one set of double-six or double-nine dominoes.

Continue reading Math Game Monday: Domino Fraction War

Musings: Math is Communication

Young boy writing math expressions

The question came up on a homeschool math forum:

“My first grader and I were playing with equivalent expressions. We were trying to see how many ways we could write the value ‘3.’

    “He wrote down 10 – 2 × 3 + 1.

      “When I tried to explain the problem with his calculation, he got frustrated and didn’t want to do math.

        “How can I help him understand order of operations?”

        [If you think this sounds like too complex of a math expression for a first grader, you may want to read my blog post about math manipulatives and big ideas.]

        Order of operations doesn’t matter in this instance. What matters is communication.

        The mother didn’t know how to read what her son wrote.

        He could help her understand by putting parentheses around the part he wanted her to read first.

        He doesn’t need to know abstract rules for arbitrary calculations, or all the different ways we might possibly misunderstand each other. He just needs to know how to say what is in his mind.

        Continue reading Musings: Math is Communication

        Math Game Monday: Nine Cards

        Learn a new math game every week, for free

        This game helps young children build mental math skills. And it’s fun for older kids or adults to play along!

        Many parents remember struggling to learn math. We hope to provide a better experience for our children.

        And one of the best ways for children to enjoy learning is through hands-on play.

        Nine Cards

        Math Concepts: addition, number bonds for ten.

        Players: two or more.

        Equipment: one deck of playing cards, face cards and jokers removed.

        Continue reading Math Game Monday: Nine Cards

        FAQ: The Value of Math Rebellion

        Math Rebels fight for truth, justice, and creative reasoning

        I’ve been getting questions about my Math Journaling Adventures books:

        “I’m so excited to try math journaling! We bought your Logbook Alpha, and my 11-year-old math-averse son is trying to be a math rebel at every turn.

          “But I feel uncomfortable with the idea of rebellion. Doesn’t he need to learn how to solve math problems the right way?”

          One of my favorite things about math is that there really is no “right” way to solve math problems.

          As I pointed out in my ongoing Mental Math series, even a problem as basic as 6+8 can be approached from many directions. So perhaps I should say, the “right” way is however the student wants to make sense of the problem.

          In math, sense-making and reasoning are always the most important things.

          Continue reading FAQ: The Value of Math Rebellion

          Math Game Monday: Hidden Hexagon

          Learn a new math game every week, for free

          This game offers a fun twist on the old classic Battleship. Can you discover your opponent’s secret shape before they find yours?

          Many parents remember struggling to learn math. We hope to provide a better experience for our children.

          And one of the best ways for children to enjoy learning is through hands-on play.

          Hidden Hexagon

          Math Concepts: coordinate graphing (first quadrant), simple linear equations, irregular polygons.

          Players: two players or two teams.

          Equipment: printed gameboard or square grid paper for each player, pencils, ruler or other straightedge.

          Continue reading Math Game Monday: Hidden Hexagon

          Mental Math: Do’s and Don’ts

          Father and son working on math homework

          Over the course of this series, we’ve seen how mental math relies on a child’s own creative ways of thinking. In mental math, children develop understanding of how numbers interact with each other in many ways.

          In this way, they learn the true 3R’s of math: to Recognize and Reason about the Relationships between numbers.

          And the principles that underlie mental calculation are also fundamental to algebra, so that flexibility and confidence in mental math is one of the best predictors of success in high school math and beyond.

          But as we went through the various example problems, did you find the written-out calculations hard to follow?

          Don’t force your children to write down their mental math. It looks dreary when I write the calculations out step by step, but that’s not how it works in a child’s mind. With regular practice, this sort of thinking becomes second nature.

          Continue reading Mental Math: Do’s and Don’ts

          Math Game Monday: Dollar Derby

          Learn a new math game every week, for free

          This simple counting game helps children grow comfortable with 2-digit numbers and learn the value of coins.

          Many parents remember struggling to learn math. We hope to provide a better experience for our children.

          And one of the best ways for children to enjoy learning is through hands-on play.

          Dollar Derby

          Math Concepts: counting, addition, coin value.

          Players: two or more.

          Equipment: printed hundred charts, six-sided dice, and a large pile of assorted coins.

          Continue reading Math Game Monday: Dollar Derby

          FAQ: Playful Math Journaling

          Girl student thinking about her math journal prompt

          Ever since the school year started, I’ve been getting questions about how to use my new Math Journaling Adventures logbooks.

          [SIDE NOTE: These logbooks are included in this month’s Thanksgiving Sale! You’ll get an automatic 10% discount off all print books, applied at checkout, no special code required.]

          “I love the way your math books get my children thinking.

            “Finally, they are having fun with math!

              “But sometimes I have no idea what the journaling prompt is all about or how to teach it. Where can I buy a solutions manual?”

              Um, that’s not how math journals work.

              The cool thing about journaling prompts is that they have no “right” answer. They are explorations into different parts of the world of math, nature walks in the land of numbers, shapes, and patterns. Springboards into whatever our children want to investigate, whatever sparks their interest.

              A few of the problem-solving prompts may have specific answers, but it really doesn’t matter if our kids find the exact solution a math professional might give. If they write what makes sense to them, they’ve accomplished the goal.

              If later, they think of something they hadn’t noticed, or they want to change their answer — well, that is mathematical thinking, too.

              Continue reading FAQ: Playful Math Journaling

              Math Game Monday: Cross-Twenties

              Learn a new math game every week, for free

              This game gives young children practice adding numbers within twenty. And it’s great strategic fun for all ages!

              Many parents remember struggling to learn math. We hope to provide a better experience for our children.

              And one of the best ways for children to enjoy learning is through hands-on play.

              Cross-Twenties

              Math Concepts: addition to twenty, thinking ahead.

              Players: two or more.

              Equipment: two decks of playing cards (face cards removed), six tokens per player.

              Continue reading Math Game Monday: Cross-Twenties

              How to Think like a School Math Genius

              Teen student thinking

              “The true joy in mathematics, the true hook that compels mathematicians to devote their careers to the subject, comes from a sense of boundless wonder induced by the subject.

                “There is transcendental beauty, there are deep and intriguing connections, there are surprises and rewards, and there is play and creativity.

                  “Mathematics has very little to do with crunching numbers. Mathematics is a landscape of ideas and wonders.”

                  —James Tanton

                  James Tanton has a new website. It looks cool, and it’s a great place to discover the things he’s working on these days.

                  But his wonderful, old-fashioned site full of great insights and interesting problems is gone.

                  😞 I hate it when some part of the internet that I love disappears. So here’s my attempt to recover one tiny bit of the old site, five tips for creative problem solving through intellectual play.

                  Continue reading How to Think like a School Math Genius